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Finding the Third Proportional to 45,279 and 72,222.75

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Solution

The third proportional to 45,279 and 72,222.75 is: 115,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,279 : 72,222.75 = 72,222.75 : x
  2. Step 2: Convert to fraction form
    45,279/72,222.75 = 72,222.75/x
  3. Step 3: Cross multiply
    45,279x = 72,222.75 × 72,222.75
  4. Step 4: Simplify right side
    45,279x = 5,216,125,617.56
  5. Step 5: Solve for x
    x = 5,216,125,617.56/45,279
  6. Step 6: Final answer
    x = 115,199.66

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.